A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have without flying off the road at the top of the hill?

Step-by-Step Solution:

Solution Step 1 of 3 The free body diagram when the car is at the top of the hill, as it is acted by normal force upward due to the contact of car with the road and the gravitational force due to weight which is downward.As in the figure below, Step 2 of 3 This resultant force will be equal to the centripetal force, 2 F net= F c mv /r Where F netis the net force, Fcis the centripetal force on car of mass m and moving in radius r circular path on hill. From FBD net force will be mg- n = mv /r